2. A company makes three products and has 4 available manufacturing plants. The production time (in minutes) per unit produced varies from plant to plant as shown below: Product 1 Product WNI 2 3 1 123 Similarly, the profit ($) contribution per unit varies from plant to plant as below: 2 1 5 6 13 3 Manufacturing Plant 2 7 12 14 1 10 18 15 Manufacturing Plant 3 4 8 9 2 8 20 16 4 10 15 17 6 15 13 1967 4 17 17 If, one week, there are 35 working hours available at each manufacturing plant how much of each product should be produced given that we need at least 100 units of product 1, 150 units of product 2, and 100 units of product 3. Formulate this problem as a linear program. You do not have to solve the resulting LP.